H-hypersurfaces with at most 3 distinct principal curvatures in the Euclidean spaces

2014/05/21 by Nurettin Cenk Turgay, Turgay, Nurettin Cenk
Mathematics · Physics and Astronomy · #53C40 #53C42 #53C50 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53C40 #msc:53C42 #msc:53C50

paper · pdf · doi:10.48550/arxiv.1405.5307

openalex publication_date 2014/05/21 · arxiv created 2014/11/30 · arxiv updated 2014/12/02 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

In this paper, we study hypersurfaces of Euclidean spaces with arbitrary dimension. First, we obtain some results on H-hypersurfaces. Then, we give the complete classification of H-hypersurfaces with 3 distinct curvatures. We also give explicit examples.

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